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157366806480 = 243451312911447
BaseRepresentation
bin1001001010001111001…
…0101110011111010000
3120001012011102001120000
42102203302232133100
510034241400301410
6200143204450000
714240460533112
oct2224362563720
9501164361500
10157366806480
1160814506974
12265b99a9900
1311abb874250
14788bd113b2
154160701dc0
hex24a3cae7d0

157366806480 has 400 divisors, whose sum is σ = 589464188544. Its totient is φ = 38679690240.

The previous prime is 157366806463. The next prime is 157366806503. The reversal of 157366806480 is 84608663751.

157366806480 is a `hidden beast` number, since 1 + 57 + 36 + 6 + 80 + 6 + 480 = 666.

157366806480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 108753117 + ... + 108754563.

Almost surely, 2157366806480 is an apocalyptic number.

157366806480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157366806480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294732094272).

157366806480 is an abundant number, since it is smaller than the sum of its proper divisors (432097382064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157366806480 is a wasteful number, since it uses less digits than its factorization.

157366806480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 157366806480 in words is "one hundred fifty-seven billion, three hundred sixty-six million, eight hundred six thousand, four hundred eighty".